FRACTIONS


Multiplying with a Whole Number

or a Mixed Number

When Fractions and Mixed Numbers are Multiplied, they

both must be changed to Improper Fractions. Then the

Numerators and the Denominators are Multiplied.




To multiply this whole number with this mixed number,

change both the whole number to an improper fraction and

the mixed number to an improper fraction.



2
x
1
1

3


2
=
2

1


1
1

3
=
4

3


2

1
x
x
4

3
=
=
8

3


8

3
=
2
2

3


2
x
1
1

3
=
2
2

3




If the resulting proper fraction can be reduced, then do so.


2
x
3
1

4


2
=
2

1


3
1

4
=
13

4


2

1
x
x
13

4
=
=
26

4


26

4
=
6
2

4


6
2

4
=
6
1

2


2
x
3
1

4
=
6
1

2




Sometimes the answer results in a whole number.


4
x
1
3

4


4
=
4

1


1
3

4
=
7

4


4

1
x
x
7

4
=
=
28

4


28

4
=
7


4
x
1
3

4
=
7




RULE

Multiplying with a Whole Number or a Mixed Number
Change any Whole Number to an Improper Fraction.

Change any Mixed Number to an Improper Fraction.

Multiply the Numerators to find the New Numerator.

Multiply the Denominators to find the new New Denominator.

Change the resulting Improper Fraction to a Mixed Number.

If the Proper Fraction can be Reduced, then do so.